Question

Find the mean,median ,and mode of the following set of data Weight of the 7 fish that were caught (lbs) are: 12,3,7,8,9,12,10

Answer 1

Given:

The data values are:

12, 3, 7, 8, 9, 12, 10

To find:

The mean,median ,and mode for the given set of date.

Solution:

We have,

12, 3, 7, 8, 9, 12, 10

Arrange the values in ascending order.

3, 7, 8, 9, 10, 12, 12

Mean of the data set is:

`\text{Mean}=\frac{\text{Sum of observations}}{\text{Number of observations}}`

`\text{Mean}=(3+7+8+9+10+12+12)/(7)`

`\text{Mean}=(61)/(7)`

`\text{Mean}\approx 8.7143`

Number of observations is 7 which is an odd number. So, the median is:

`Median=(n+1)/(2)\text{th term}`

`Median=(7+1)/(2)\text{th term}`

`Median=(8)/(2)\text{th term}`

`Median=4\text{th term}`

The 4th term from the arranged data set is 9.

`Median=9`

Here, the most frequent number is 12 because it occurs 2 times. So, the mode of the data set is 12.

Therefore, the mean of the data set is 8.7143, median is 9 and mode is 12.